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Finding the Third Proportional to 129,062 and 189,361

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Solution

The third proportional to 129,062 and 189,361 is: 277,832.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,062 : 189,361 = 189,361 : x
  2. Step 2: Convert to fraction form
    129,062/189,361 = 189,361/x
  3. Step 3: Cross multiply
    129,062x = 189,361 × 189,361
  4. Step 4: Simplify right side
    129,062x = 35,857,588,321
  5. Step 5: Solve for x
    x = 35,857,588,321/129,062
  6. Step 6: Final answer
    x = 277,832.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.